105233536768 has 36 divisors (see below), whose sum is σ = 210356015688. Its totient is φ = 52541619200.

The previous prime is 105233536747. The next prime is 105233536777. The reversal of 105233536768 is 867635332501.

It is a super-2 number, since 2×105233536768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113746 + ... + 472657.

It is an arithmetic number, because the mean of its divisors is an integer number (5843222658).

Almost surely, 2^105233536768 is an apocalyptic number.

It is an amenable number.

105233536768 is a deficient number, since it is larger than the sum of its proper divisors (105122478920).

105233536768 is an frugal number, since it uses more digits than its factorization.

105233536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587120 (or 587106 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 105233536768 in words is "one hundred five billion, two hundred thirty-three million, five hundred thirty-six thousand, seven hundred sixty-eight".